# So many mods

Algebra Level 4

$\large y=||||\ldots |||x|-k|-k|-k|\ldots -k|-k|-k|-k|$

Consider the equation above where $$k$$ is any positive integer and there are $$n$$ number of $$k$$'s.

What is the area bounded by the curve and the $$x$$-axis considered between the largest and the smallest $$x$$ coordinates where the equation vanishes?

Note that $$|x|$$ denote the absolute value of $$x$$.

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